(i) Exterior angle of a regular polygon having n sides is more than th

1.	(i) Exterior angle of a regular polygon having n sides is more than thatof the polygon having n2 sides by 50Â°. Find the number of the sidesof each polygon.
Answer» Exterior angle of a regular polygon having n side = 360/n Exterior angle of a regular polygon having n² side = 360/n² 360/n-360/n^2=50360n-360/n^2=505n^2-36n+36=0(5n-6)(n-6)=0n=6

(i) Exterior angle of a regular polygon having n sides is more than thatof the polygon having n2 sides by 50Â°. Find the number of the sidesof each polygon.

Answer»

Exterior angle of a regular polygon having n side = 360/n

Exterior angle of a regular polygon having n² side = 360/n²

360/n-360/n^2=50360n-360/n^2=505n^2-36n+36=0(5n-6)(n-6)=0n=6